Finite Group Databasebeta

← Group #10697943

Character table — Group #10697943

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881212121212121212161616161616161616161616161616161616484848484848
order12223444444666244412121212121261212124444444422446666881212121224242424448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ92222222-222-2222-2-22-2222-2-22-2-22-200000000020-200220000-2-20000000000
χ102222222-222-2222-2-22-2222-2-22-2-22-2000000000-20200-2-20000220000000000
χ11222222-222-22222-2-2-222-2-2222-2-2-220000000020-20220000-2-2000000000000
χ12222222-222-22222-2-2-222-2-2222-2-2-2200000000-2020-2-2000022000000000000
χ13222222-2-22-2-222222-2-22-2-2-2-2222-2-200000000000000002-2000022-2-2000000
χ14222222-2-22-2-222222-2-22-2-2-2-2222-2-20000000000000000-220000-2-222000000
χ1522222-222-222222-22-2-2-22222-2-22-2-2000000000000000000000000002-20000
χ1622222-222-222222-22-2-2-22222-2-22-2-200000000000000000000000000-220000
χ1722222-22-2-22-22222-2-22-222-2-2-22-2-2200000000000000000000000000002-200
χ1822222-22-2-22-22222-2-22-222-2-2-22-2-220000000000000000000000000000-2200
χ1922222-2-22-2-222222-22-2-2-2-222-22-22-20000000000000000000000000000002-2
χ2022222-2-22-2-222222-22-2-2-2-222-22-22-2000000000000000000000000000000-22
χ2122222-2-2-2-2-2-2222-2222-2-2-2-2-2-2-22222i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ2222222-2-2-2-2-2-2222-2222-2-2-2-2-2-2-2222−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-122-1-1-1-1-1-1-1-1000000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1000000002-22-2-1-111-2-2-1-1111111000000
χ252222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-100000000-22-2211-1-1-2-211-1-11111000000
χ262222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111221111-1-1-1-1000000
χ272222-122-222-2-1-1-1-2-22-2-1-1-111-111-1100000000020-2−i3i3-1-100−i3i311−i3i3−i3i3000000
χ282222-122-222-2-1-1-1-2-22-2-1-1-111-111-1100000000020-2i3−i3-1-100i3−i311i3−i3i3−i3000000
χ292222-122-222-2-1-1-1-2-22-2-1-1-111-111-11000000000-202−i3i31100−i3i3-1-1i3−i3i3−i3000000
χ302222-122-222-2-1-1-1-2-22-2-1-1-111-111-11000000000-202i3−i31100i3−i3-1-1−i3i3−i3i3000000
χ312222-12-222-22-1-1-1-2-2-22-111-1-1-1111-10000000020-20-1-1−i3i30011−i3i3−i3i3i3−i3000000
χ322222-12-222-22-1-1-1-2-2-22-111-1-1-1111-10000000020-20-1-1i3−i30011i3−i3i3−i3−i3i3000000
χ332222-12-222-22-1-1-1-2-2-22-111-1-1-1111-100000000-202011−i3i300-1-1−i3i3i3−i3−i3i3000000
χ342222-12-222-22-1-1-1-2-2-22-111-1-1-1111-100000000-202011i3−i300-1-1i3−i3−i3i3i3−i3000000
χ352222-12-2-22-2-2-1-1-122-2-2-11111-1-1-111000000000000−i3i3−i3i32-2i3−i3i3−i3-1-111000000
χ362222-12-2-22-2-2-1-1-122-2-2-11111-1-1-111000000000000−i3i3i3−i3-22i3−i3−i3i311-1-1000000
χ372222-12-2-22-2-2-1-1-122-2-2-11111-1-1-111000000000000i3−i3−i3i3-22−i3i3i3−i311-1-1000000
χ382222-12-2-22-2-2-1-1-122-2-2-11111-1-1-111000000000000i3−i3i3−i32-2−i3i3−i3i3-1-111000000
χ394444-2-444-444-2-2-2-44-4-42-2-2-2-222-22200000000000000000000000000000000
χ404444-2-44-4-44-4-2-2-24-4-442-2-2222-222-200000000000000000000000000000000
χ414444-2-4-44-4-44-2-2-24-44-4222-2-22-22-2200000000000000000000000000000000
χ424444-2-4-4-4-4-4-4-2-2-2-44442222222-2-2-200000000000000000000000000000000
χ4344-4-44400-4004-4-4000040000-4000022-2-222-2-2000000000000000000000000
χ4444-4-44400-4004-4-4000040000-40000-2-222-2-222000000000000000000000000
χ4544-4-44-4004004-4-40000-40000400002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4644-4-44-4004004-4-40000-4000040000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ474-44-4400400-4-44-400000004-4000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ484-44-4400400-4-44-400000004-400000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ494-44-4400-4004-44-40000000-44000002-22-2-22-22000000000000000000000000
χ504-44-4400-4004-44-40000000-4400000-22-222-22-2000000000000000000000000
χ514-4-4440400-40-4-44000004-400000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ524-4-4440400-40-4-44000004-40000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ534-4-4440-40040-4-4400000-4400000002-2-22-222-2000000000000000000000000
χ544-4-4440-40040-4-4400000-440000000-222-22-2-22000000000000000000000000
χ5588-8-8-4800-800-4440000-400004000000000000000000000000000000000000
χ5688-8-8-4-800800-444000040000-4000000000000000000000000000000000000
χ578-88-8-400800-84-440000000-440000000000000000000000000000000000000
χ588-88-8-400-80084-4400000004-40000000000000000000000000000000000000
χ598-8-88-40800-8044-400000-44000000000000000000000000000000000000000
χ608-8-88-40-8008044-4000004-4000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).